Least Common Multiple (LCM) of 137 and 131
The least common multiple (LCM) of 137 and 131 is 17947.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 137 and 131?
First, calculate the GCD of 137 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 131 = 1 remainder 6 |
| 2 | 131 ÷ 6 = 21 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 127 | 18034 |
| 60 and 40 | 120 |
| 45 and 58 | 2610 |
| 112 and 61 | 6832 |
| 37 and 118 | 4366 |